Bought a house 8 months ago and these two groundcovers are all over. What are they? The single large leave is about 6" tall and grows multiple strong stems from base - very very aggressive (under sidewalk into grass). The smaller, greyer is more polite and about 4" tall and matt - like. Smaller might be some kind of thyme???? I've looked at 100's of pictures...asked many people and need help. Doing major landscaping changes and wondering if I should keep the stuff and move. Both appear to have been delibrately planted as groundcover i.e. under bushes, in hard to grow places. Thank you for your help! Follow link for pixs:

Here is a link that might be useful: Groundcovers